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Related Concept Videos

Friedman Two-way Analysis of Variance by Ranks01:21

Friedman Two-way Analysis of Variance by Ranks

Friedman's Two-Way Analysis of Variance by Ranks is a nonparametric test designed to identify differences across multiple test attempts when traditional assumptions of normality and equal variances do not apply. Unlike conventional ANOVA, which requires normally distributed data with equal variances, Friedman's test is ideal for ordinal or non-normally distributed data, making it particularly useful for analyzing dependent samples, such as matched subjects over time or repeated measures from...
Wilcoxon Signed-Ranks Test for Matched Pairs01:09

Wilcoxon Signed-Ranks Test for Matched Pairs

The Wilcoxon signed-rank test for matched pairs evaluates the null hypothesis by combining the ranks of differences with their signs. It essentially tests whether the median of the differences in a population of matched pairs is zero. Since the test incorporates more information than the sign test, it generally yields more trustable conclusions. This test also does not require the data to follow a normal distribution, but two conditions must be met for it to be applicable: (1) the data must...
One-Way ANOVA01:18

One-Way ANOVA

One-way ANOVA analyzes more than three samples categorized by one factor. For example, it can compare the average mileage of sports bikes. Here, the data is categorized by one factor - the company. However, one-way ANOVA cannot be used to simultaneously compare the sample mean of three or more samples categorized by two factors. An example of two factors would be sports bikes from different companies driven in different terrains, such as a desert or snowy landscape. Here, two-way ANOVA is used...
Two-Way ANOVA01:17

Two-Way ANOVA

The two-way ANOVA is an extension of the one-way ANOVA. It is a statistical test performed on three or more samples categorized by two factors - a row factor and a column factor. Ronald Fischer mentioned it in 1925 in his book 'Statistical Methods for Researchers.'
The two-way ANOVA analysis initially begins by stating the null hypothesis that there is an interaction effect between the two factors of a dataset. This effect can be visualized using line segments formed by joining the means for...
Goodness-of-Fit Test01:16

Goodness-of-Fit Test

The goodness-of-fit test is a type of hypothesis test which determines whether the data "fits" a particular distribution. For example, one may suspect that some anonymous data may fit a binomial distribution. A chi-square test (meaning the distribution for the hypothesis test is chi-square) can be used to determine if there is a fit. The null and alternative hypotheses may be written in sentences or stated as equations or inequalities. The test statistic for a goodness-of-fit test is given as...
Bonferroni Test01:10

Bonferroni Test

The Bonferroni test is a statistical test named after Carlo Emilio Bonferroni, an Italian mathematician best known for Bonferroni inequalities. This statistical test is a type of multiple comparison test to determine which means are different than the rest. Bonferroni test can minimize the Type 1 error by reducing the significance level alpha, which otherwise increases with sample pairs.
The means of different samples are first paired in all possible combinations.
The null hypothesis of the...

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Related Experiment Video

Updated: Jun 28, 2026

Quantification of Orofacial Phenotypes in Xenopus
09:26

Quantification of Orofacial Phenotypes in Xenopus

Published on: November 6, 2014

Performing procrustes discriminant analysis with HOLMES.

D González-Arjona1, G López-Pérez, A G González

  • 1Department of Physical Chemistry, University of Seville, 41012 Seville, Spain.

Talanta
|October 31, 2008
PubMed
Summary

Program HOLMES was updated for procrustes discriminant analysis (PDA), a method equivalent to partial least squares-discriminant analysis (PLS-DA). This enhanced program is demonstrated through literature case studies for improved data analysis.

Related Experiment Videos

Last Updated: Jun 28, 2026

Quantification of Orofacial Phenotypes in Xenopus
09:26

Quantification of Orofacial Phenotypes in Xenopus

Published on: November 6, 2014

Area of Science:

  • Chemometrics
  • Multivariate data analysis
  • Statistical pattern recognition

Background:

  • Target factor analysis is a common technique for analyzing complex datasets.
  • Procrustes discriminant analysis (PDA) offers a robust method for classification.
  • Existing computational methods for PDA require updates for broader applicability.

Purpose of the Study:

  • To update the HOLMES program for enhanced procrustes discriminant analysis (PDA).
  • To establish the mathematical equivalence between PDA and partial least squares-discriminant analysis (PLS-DA).
  • To demonstrate the practical application of the updated PDA through case studies.

Main Methods:

  • Updating the HOLMES program incorporating computational details for PDA.
  • Establishing theoretical equivalence between PDA and PLS-DA.
  • Applying the updated PDA to two real-world datasets from existing literature.

Main Results:

  • The HOLMES program has been successfully updated for PDA.
  • A clear mathematical equivalence between PDA and PLS-DA was demonstrated.
  • The updated PDA method showed effective application in the analyzed case studies.

Conclusions:

  • The updated HOLMES program provides an effective tool for procrustes discriminant analysis.
  • The established equivalence with PLS-DA broadens the accessibility and understanding of PDA.
  • The demonstrated applications highlight the utility of PDA in multivariate classification problems.